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Finding the Fourth Proportional to 305,243.88, 457,886.34 and 105,583.56

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Solution

The fourth proportional to 305,243.88, 457,886.34 and 105,583.56 is: 158,382.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,243.88 : 457,886.34 = 105,583.56 : x
  2. Step 2: Convert to fraction form
    305,243.88/457,886.34 = 105,583.56/x
  3. Step 3: Cross multiply
    305,243.88x = 457,886.34 × 105,583.56
  4. Step 4: Simplify right side
    305,243.88x = 48,345,269,852.57
  5. Step 5: Solve for x
    x = 48,345,269,852.57/305,243.88
  6. Step 6: Final answer
    x = 158,382.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.